Properties

Label 142912.y
Number of curves $1$
Conductor $142912$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 142912.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142912.y1 142912bq1 \([0, -1, 0, -5521, -154087]\) \(18178400056576/262710217\) \(269015262208\) \([]\) \(222208\) \(0.99709\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142912.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 142912.y do not have complex multiplication.

Modular form 142912.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} + 4 q^{5} - q^{7} - 2 q^{9} - q^{11} + q^{13} - 4 q^{15} + 2 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display